107198432928 has 288 divisors, whose sum is σ = 320611374720. Its totient is φ = 33939855360.

The previous prime is 107198432921. The next prime is 107198432951. The reversal of 107198432928 is 829234891701.

107198432928 is a `hidden beast` number, since 10 + 7 + 198 + 432 + 9 + 2 + 8 = 666.

107198432928 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×107198432928² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (107198432921) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 104993058 + ... + 104994078.

It is an arithmetic number, because the mean of its divisors is an integer number (1113233940).

Almost surely, 2^107198432928 is an apocalyptic number.

107198432928 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 107198432928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160305687360).

107198432928 is an abundant number, since it is smaller than the sum of its proper divisors (213412941792).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

107198432928 is a wasteful number, since it uses less digits than its factorization.

107198432928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1300 (or 1289 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 54.

The spelling of 107198432928 in words is "one hundred seven billion, one hundred ninety-eight million, four hundred thirty-two thousand, nine hundred twenty-eight".